Cracked elastic layer under compressive mechanical loads

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:48

Article

Makaryan, V.²  Sutton, M.¹  Hasanyan, D.¹  Deng, X.¹ 

[1] Univ S Carolina, Dept Mech Engn, Columbia, SC 29208 USA

[2] Natl Acad Sci Armenia, Inst Mech, Yerevan, Armenia

关键词: Elastic layer;    Crack;    Compressive loading;    Contact;    Singular integral equation;    Orthogonal polynomials;    Stress intensity factor;   

DOI  :  10.1016/j.ijsolstr.2011.01.004

来源: Elsevier

【 摘 要 】

We consider boundary value problem in which an elastic layer containing a finite length crack is under compressive loading. The crack is parallel to the layer surfaces and the contact between crack surfaces are either frictionless or with adhesive friction or Coulomb friction. Based on fourier integral transformation techniques the solution of the formulated problems is reduced to the solution of a singular integral equation, then, using Chebyshev's orthogonal polynomials, to an infinite system of linear algebraic equations. The regularity of these equations is established. The expressions for stress and displacement components in the elastic layer are presented. Based on the developed analytical algorithm, extensive numerical investigations have been conducted. The results of these investigations are illustrated graphically, exposing some novel qualitative and quantitative knowledge about the stress field in the cracked layer and their dependence on geometric and applied loading parameters. It can be seen from this study that the crack tip stress field has a mode II type singularity. (C) 2011 Elsevier Ltd. All rights reserved.

【 授权许可】

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